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Finding the Fourth Proportional to 25,729.44, 38,602.96 and 11,868

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Solution

The fourth proportional to 25,729.44, 38,602.96 and 11,868 is: 17,806.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,729.44 : 38,602.96 = 11,868 : x
  2. Step 2: Convert to fraction form
    25,729.44/38,602.96 = 11,868/x
  3. Step 3: Cross multiply
    25,729.44x = 38,602.96 × 11,868
  4. Step 4: Simplify right side
    25,729.44x = 458,139,929.28
  5. Step 5: Solve for x
    x = 458,139,929.28/25,729.44
  6. Step 6: Final answer
    x = 17,806.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.